The Hasse diagram of the moduli space of instantons

<p>Hasse diagrams (or phase diagrams) for moduli spaces of supersymmetric field theories have been intensively studied in recent years, and many tools to compute them have been developed. The moduli space of instantons, despite being well studied, has proven difficult to deal with. In this not...

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Main Authors: Bourget, A, Grimminger, JF, Hanany, A, Zhong, Z
Format: Journal article
Language:English
Published: Springer 2022
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author Bourget, A
Grimminger, JF
Hanany, A
Zhong, Z
author_facet Bourget, A
Grimminger, JF
Hanany, A
Zhong, Z
author_sort Bourget, A
collection OXFORD
description <p>Hasse diagrams (or phase diagrams) for moduli spaces of supersymmetric field theories have been intensively studied in recent years, and many tools to compute them have been developed. The moduli space of instantons, despite being well studied, has proven difficult to deal with. In this note we explore the Hasse diagram of this moduli space from several perspectives &mdash; using the partial Higgs mechanism, using brane systems and using quiver subtraction &mdash; having to refine previously developed techniques. In particular we introduce the new concept of&nbsp;<em>decorated quiver</em>, which allows to deal with a large class of unitary quivers, including those with adjoint matter.</p>
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spelling oxford-uuid:da19c295-f48a-48b7-bb1c-0045775f8fcc2024-04-16T12:09:00ZThe Hasse diagram of the moduli space of instantonsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:da19c295-f48a-48b7-bb1c-0045775f8fccEnglishSymplectic ElementsSpringer2022Bourget, AGrimminger, JFHanany, AZhong, Z<p>Hasse diagrams (or phase diagrams) for moduli spaces of supersymmetric field theories have been intensively studied in recent years, and many tools to compute them have been developed. The moduli space of instantons, despite being well studied, has proven difficult to deal with. In this note we explore the Hasse diagram of this moduli space from several perspectives &mdash; using the partial Higgs mechanism, using brane systems and using quiver subtraction &mdash; having to refine previously developed techniques. In particular we introduce the new concept of&nbsp;<em>decorated quiver</em>, which allows to deal with a large class of unitary quivers, including those with adjoint matter.</p>
spellingShingle Bourget, A
Grimminger, JF
Hanany, A
Zhong, Z
The Hasse diagram of the moduli space of instantons
title The Hasse diagram of the moduli space of instantons
title_full The Hasse diagram of the moduli space of instantons
title_fullStr The Hasse diagram of the moduli space of instantons
title_full_unstemmed The Hasse diagram of the moduli space of instantons
title_short The Hasse diagram of the moduli space of instantons
title_sort hasse diagram of the moduli space of instantons
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